$$\frac { 4 x \sqrt { 18 } } { \sqrt { 256 } } = 2 \sqrt { 2 }$$
$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$
$$\frac{4x\times 3\sqrt{2}}{\sqrt{256}}=2\sqrt{2}$$
$$\frac{12x\sqrt{2}}{\sqrt{256}}=2\sqrt{2}$$
$$\frac{12x\sqrt{2}}{16}=2\sqrt{2}$$
$$\frac{3}{4}x\sqrt{2}=2\sqrt{2}$$
$$\frac{3\sqrt{2}}{4}x=2\sqrt{2}$$
$$\frac{4\times \frac{3\sqrt{2}}{4}x}{3\sqrt{2}}=\frac{4\times 2\sqrt{2}}{3\sqrt{2}}$$
$$x=\frac{4\times 2\sqrt{2}}{3\sqrt{2}}$$
$$x=\frac{8}{3}$$
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